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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Today's image takes us to the next formula in line, the 'newton' formula, which works the same as the 'newtbasin' formula except that it colors the images according to the number of iterations it takes for the iterated points to reach their roots. For some arbitrary reason, I named the image "Analemma". An analemma is the figure-8 graph usually seen in the Pacific Ocean areas of world globes. At a single glance it shows the sun's declination and the equation of time for each day of the year. But there is little in today's image that resembles an analemma. The word simply seemed to fit the mood of the moment when I thought of it. The image itself resembles a solar eclipse more than anything else. Or some might see a steering wheel at the center. It is an unusual picture when compared to my standard routine of an unending string of images with decorated Mandelbrot midgets at the center. But since starting the tour of the Fractint formulas, I have done many images with no midgets, so maybe today's image is not so unusual after all. I created the picture by setting the single parameter to a rather high value of 240 and rendering the scene with the outside set to 'mult'. Apparently just for the fun of it, the 'mult' option colors the pixels by multiplying the iteration count of escaping points by their real divided by imaginary values at the time they escape. The render time on my ancient worn-out machine is a nominal 12-3/4 minutes. This joins with the rating of 7 to give an overall worth of 55. For those who do not render, the image is available for download on the FOTD web site at: An off-and-on light rain fell all day Wednesday here at Fractal Central. The rain did not amount to much, but it was enough to keep things wet and keep the fractal cats confined indoors. Luckily we were well stocked with tuna. Today is starting partly cloudy and quite mild, but showers are in the area, and the wind is rising. The cats have yet to pass judgement on the conditions. In my department the work is caught up and I have little to do for the rest of the day but take it easy. So far I have heard nothing about being invited to any dinners. Unless something changes, this will leave me plenty of time to find the next fractal. Until that next fractal appears, which will happen right here in 24 hours, take care, and then take further care. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
Analemma { ; time=0:12:47.53--SF5 on a P200
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bailout=9 inside=0 outside=mult
logmap=yes symmetry=origin periodicity=10
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END PARAMETER FILE=========================================
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